Appearance Before Court or TribunalA. An eligible law student may appear as a student intern in any civil or criminal matter in any court or before an administrative tribunal in this State if the person on whose behalf he or she is appearing has consented in writing to that appearance and the sponsoring attorney, who shall also be the attorney of record in the court or tribunal, has approved the appearance in writing.B. The certification of the client and the sponsoring attorney shall be submitted to the court or tribunal of appearance, which shall enter an order allowing the appearance. The certification shall be made a part of the record of the court or tribunal in the case or proceedings for which the student intern shall provide services on behalf of the client.C. The sponsoring attorney shall personally supervise and oversee at all times any such student intern who shall appear before any court or administrative tribunal, and in any case tried before a jury the licensed attorney of record shall be present in court at all times during the trial of the case.D. A student intern may also appear in any criminal matter on behalf of the State with the written approval of the prosecuting attorney or his or her authorized representative.